What is the derivative of 10cos(30x-7) ?

The derivative of 10cos(30x-7) is -300sin(30x-7)

What is the first derivative of 10cos(30x-7) ?

The first derivative of 10cos(30x-7) is -300sin(30x-7)

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\frac{d}{d x} (10 cos (30 x - 7))

- 300 sin (30 x - 7)

Solution steps

\frac{d}{d x} (10 cos (30 x - 7))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{d}{d x} (cos (30 x - 7))

Apply the chain rule:

- sin (30 x - 7) \frac{d}{d x} (30 x - 7)

= - sin (30 x - 7) \frac{d}{d x} (30 x - 7)

\frac{d}{d x} (30 x - 7) = 30

= 10 (- sin (30 x - 7) \cdot 30)

Simplify

= - 300 sin (30 x - 7)

\int csch^{2} (13 x - \frac{4}{9}) d x

(- 1, - 1), (4, - 6)

6 t^{5}

(1 + t) (8 t^{2} - 1)

x \to \infty lim (3 x^{4})

What is the derivative of 10cos(30x-7) ?
The derivative of 10cos(30x-7) is -300sin(30x-7)
What is the first derivative of 10cos(30x-7) ?
The first derivative of 10cos(30x-7) is -300sin(30x-7)